4 papers
Numerical solution of two dimensional scalar conservation laws using compact implicit numerical schemes on Cartesian meshes
Peter Frolkovic, Dagmar Zakova
This paper deals with the numerical solution of conservation laws in the two dimensional case using a novel compact implicit time discretization that enables applications of fast a…
Compact implicit high resolution numerical method for solving transport problems with sorption isotherms
Dagmar Zakova, Peter Frolkovic
This study investigates numerical methods to solve nonlinear transport problems characterized by various sorption isotherms with a focus on the Freundlich type of isotherms. We des…
Unconditionally local bounds preserving numerical scheme based on inverse Lax-Wendroff procedure for advection on networks
Peter FrolkoviÄ, Svetlana KriÅ¡ková, KatarÃna Lacková
We derive an implicit numerical scheme for the solution of advection equation where the roles of space and time variables are exchanged using the inverse Lax-Wendroff procedure. Th…
Eikonal boundary condition for level set method
Jooyoung Hahn, Karol Mikula, Peter FrolkoviÄ +1
In this paper, we propose to use the eikonal equation as a boundary condition when advective or normal flow equations in the level set formulation are solved numerically on polyhed…